منابع مشابه
On the space of ergodic invariant measures of unipotent flows
Let G be a Lie group and Γ be a discrete subgroup. We show that if {μn} is a convergent sequence of probability measures on G/Γ which are invariant and ergodic under actions of unipotent one-parameter subgroups, then the limit μ of such a sequence is supported on a closed orbit of the subgroup preserving it, and is invariant and ergodic for the action of a unipotent one-parameter subgroup of G.
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The uniqueness theorem for the ergodic maximal operator is proved in the continuous case. Let (X, S, μ) be a finite measure space, μ(X) < ∞, (1) and let (Tt)t≥0 be an ergodic semigroup of measure-preserving transformations of (X, S, μ). As usual the map (x, t) → Ttx is assumed to be jointly measurable. For an integrable function f , f ∈ L(X), the ergodic maximal function f∗ is defined by equati...
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We show that generic infinite group extensions of geodesic flows on square tiled translation surfaces are ergodic in almost every direction, subject to certain natural constraints. Recently K. Fra̧czek and C. Ulcigrai have shown that certain concrete staircases, covers of square-tiled surfaces, are not ergodic in almost every direction. In contrast we show the almost sure ergodicity of other con...
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the central purpose of this study was to conduct a case study about the role of self monitoring in teacher’s use of motivational strategies. furthermore it focused on how these strategies affected students’ motivational behavior. although many studies have been done to investigate teachers’ motivational strategies use (cheng & d?rnyei, 2007; d?rnyei & csizer, 1998; green, 2001, guilloteaux & d?...
On Smooth Hamiltonian Flows Limiting to Ergodic Billiards
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ژورنال
عنوان ژورنال: Proceedings of the London Mathematical Society
سال: 2011
ISSN: 0024-6115
DOI: 10.1112/plms/pdr032